{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sklearn.neural_network import MLPClassifier\n",
    "from sklearn.datasets import make_classification\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set(style=\"white\")\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = make_classification(n_samples=200, n_features=2, n_informative=2, n_redundant=0, weights=[.5, .5], random_state=17)\n",
    "clf = MLPClassifier(max_iter=600, random_state=123).fit(X[:100], y[:100])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "xx, yy = np.mgrid[-3:3:.01, -3:3:.01]\n",
    "grid = np.c_[xx.ravel(), yy.ravel()]\n",
    "probs = clf.predict_proba(grid)[:, 1].reshape(xx.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(-3, 3), (-3, 3), None]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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KD0pqm+zeV1bbRGyUsoLITRdO5pEbZxMTFU5IkJalv2Ty6KsLyCms8Oo8dDot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\nSVJjXgANL+Yc1jZpHgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f668898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots(figsize=(12, 9))\n",
    "contour = ax.contourf(xx, yy, probs, 25, cmap=\"RdBu\",\n",
    "                      vmin=0, vmax=1)\n",
    "ax_c = f.colorbar(contour)\n",
    "ax_c.set_label(\"$P(y = 1)$\")\n",
    "ax_c.set_ticks([0, .25, .5, .75, 1])\n",
    "\n",
    "ax.scatter(X[100:,0], X[100:, 1], c=y[100:], s=50,\n",
    "           cmap=\"RdBu\", vmin=-.2, vmax=1.2,\n",
    "           edgecolor=\"white\", linewidth=1)\n",
    "\n",
    "ax.set(aspect=\"equal\",\n",
    "       xlim=(-3, 3), ylim=(-3, 3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_decision_boundary(X_orig, y_orig, probs_orig, chaff_X=None, chaff_y=None, probs_poisoned=None):\n",
    "    f, ax = plt.subplots(figsize=(12, 9))\n",
    "\n",
    "    ax.scatter(X_orig[100:,0], X_orig[100:, 1], \n",
    "               c=y_orig[100:], s=50, cmap=\"gray\",\n",
    "               edgecolor=\"black\", linewidth=1)\n",
    "    \n",
    "    if all([(chaff_X is not None),\n",
    "            (chaff_y is not None),\n",
    "            (probs_poisoned is not None)]):\n",
    "        ax.scatter(chaff_X[:,0], chaff_X[:, 1], \n",
    "                   c=chaff_y, s=50, cmap=\"gray\", \n",
    "                   marker=\"*\", edgecolor=\"black\", linewidth=1)\n",
    "        ax.contour(xx, yy, probs_orig, levels=[.5], \n",
    "                   cmap=\"gray\", vmin=0, vmax=.8)\n",
    "        ax.contour(xx, yy, probs_poisoned, levels=[.5], \n",
    "                   cmap=\"gray\")\n",
    "    else:\n",
    "        ax.contour(xx, yy, probs_orig, levels=[.5], cmap=\"gray\")\n",
    "\n",
    "    ax.set(aspect=\"equal\", xlim=(-3, 3), ylim=(-3, 3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Original MLP classifier decision boundary fitted to the dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IkXBwcMB3332H9evXY+LEiUhOToaJiYnScaNGjYKrqyumTZumpkqVFRYW4uuvv8bKlSth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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1114896a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(X, y, probs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Injecting 5% chaff (poisoning traffic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_chaff = 5\n",
    "chaff_X = np.array([np.linspace(-2, -1, num_chaff), np.linspace(0.1, 0.1, num_chaff)]).T\n",
    "chaff_y = np.ones(num_chaff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## After 1x partial fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NnDgR1tbW+P7777Fr1y7MmDEDycnJ0NPTq3DepEmT4ODggAULFigoaUVlZWX4+uuvsWXL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\nIiIikxgYiIiIyCQGBiIiIjLp/wCZ0EZyR4zU8wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111450c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf.partial_fit(chaff_X, chaff_y)\n",
    "probs_poisoned = clf.predict_proba(grid)[:, 1].reshape(xx.shape)\n",
    "plot_decision_boundary(X, y, probs, chaff_X, chaff_y, probs_poisoned)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## After 2x partial fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EuLg4obi4WDh16pTg5eUlvPPOO4Kfn5+wf//+Kt/XqVMn4fTp0/VcLTUELxsY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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109f69da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf.partial_fit(chaff_X, chaff_y)\n",
    "probs_poisoned = clf.predict_proba(grid)[:, 1].reshape(xx.shape)\n",
    "plot_decision_boundary(X, y, probs, chaff_X, chaff_y, probs_poisoned)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## After 3x partial fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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p1tChQ+Hq6orvv/8ea9euxZgxY5CUlARzc3OV/YYNGwZvb2988cUXWqpUVVFREb7++mss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\nRQwMREREZNH/A+jfcdwSThagAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112b1dc18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf.partial_fit(chaff_X, chaff_y)\n",
    "probs_poisoned = clf.predict_proba(grid)[:, 1].reshape(xx.shape)\n",
    "plot_decision_boundary(X, y, probs, chaff_X, chaff_y, probs_poisoned)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## After 4x partial fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vESNGwMXFBV9//TU2bNiA8ePHIzk5GWZmZir7hYWFwcvLC9OmTdNQpaqKi4vx+eefY9Wq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\nDAxERERkEQMDERERWfR/B4zqySa+O60AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11228c518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf.partial_fit(chaff_X, chaff_y)\n",
    "probs_poisoned = clf.predict_proba(grid)[:, 1].reshape(xx.shape)\n",
    "plot_decision_boundary(X, y, probs, chaff_X, chaff_y, probs_poisoned)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## After 5x partial fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Iu4YOHQo3Nzd8++23WLt2LcaOHYukpCTIZDK1/YYNGwYvLy9MnjxZR5WqKyoqwpdffonl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\nREREZNT/A3U8bs57obWuAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113555f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf.partial_fit(chaff_X, chaff_y)\n",
    "probs_poisoned = clf.predict_proba(grid)[:, 1].reshape(xx.shape)\n",
    "plot_decision_boundary(X, y, probs, chaff_X, chaff_y, probs_poisoned)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
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